The goal of this paper is to demonstrate the introduction of dimensional variables as well as the applications of dimensional analysis in Computer Algebra system ...

Students of elementary complex analysis usually begin by seeing the derivation of the Cauchy--Riemann equations. A topic of interest to both the development of the theory and ...

We present the results of a computational study of the waves that leave a point source in a circular enclosure. We work in the geometric optics approximation. A video results ...

The Takagi-Taupin equations are a set of partial differential equations that are fundamental in the dynamical theory of x-ray diffraction. We show how they can be manipulated ...

This book is a reference for professionals and students interested in prime numbers and encryption, cryptography, factoring algorithms, elliptic curve arithmetic, and many ...

The exact diagonalization method using a spin-adapted basis is employed to calculate the electronic structure of a multi-electron quantum dot. By isolating spin and orbital ...

We calculate the perturbative value of the free energy in lattice QCD in three dimensions, up to three loops. Our calculation is performed using the Wilson formulation for ...

Mallows' Cp plot is a useful tool for variable selection in linear regression. Though not as popular as the Cp plot, Spjotvoll's Fp and Pp plots are also used in the variable ...

This book provides the reader with a practical foundation in general equilibrium theory, embeds the theory in a multi-sector dynamic framework, discusses how to practically ...

We extend the algorithm for computing {1}, {1, 3}, {1,4} inverses and their gradients from [11] to the set of multiple-variable rational and polynomial matrices. An ...